Geometry | Unit 5 | Lesson 11: Prisms Practice | Practice Problems

This prism has a right triangle for a base. What is the volume of the prism?

• 48 cubic units

• 50 cubic units

• 52 cubic units

• 54 cubic units

• 56 cubic units

A prism has a height of 5 inches and a volume of 80 cubic inches. Select all figures that could be the base for this prism.

• a square with side length 4 inches

• a 2 inch by 8 inch rectangle

• a circle with radius 2 inches

• a right triangle with legs 4 inches long

• a heart-shaped base with an area of 16 square inches

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This solid has curved sides. All cross sections parallel to the base are squares measuring 3 units on each side. The height from the base to the top is 10 units. What is the volume of this solid?

• 30 cubic units

• 60 cubic units

• 90 cubic units

• There is not enough information to determine the volume.

Each small square represents 1 square centimeter. Sketch and label the solid formed by rotating this two-dimensional figure around the horizontal axis shown. What is the volume of this solid?

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A solid has volume 6 cubic units and surface area 22 square units. The solid is dilated, and the image has surface area 198 square units. What is the volume of the image?

• 54 cubic units

• 108 cubic units

• 162 cubic units

• 216 cubic units

• 270 cubic units

The Pyramid of Khufu in Giza, Egypt was the world’s tallest free-standing structure for more than 3,500 years. Its original height was about 144 meters. Its base is approximately a square with a side length of 231 meters. The diagram shows a cross section created by dilating the base using the top of the pyramid as a center. The cross section has side length of 154 meters. What scale factor was used to create the cross section? What is the height of the cross section?

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Select all statements that must be true.

• The angle bisector of an isosceles triangle is also the perpendicular bisector.

• The angle bisector of any angle divides the angle into 2 congruent parts.

• The median of a triangle is also the perpendicular bisector.

• The median of an isosceles triangle is also the angle bisector.

• The median of a triangle is also the angle bisector.